That was an alternate version of the original Thunderbird, John Proudstar, and the name on the movie set chair specifically said James "Warpath" Proudstar, so not the same.

Doesn't matter. Warpath is essentially a more powerful version of Thunderbird, and for the sake of a movie adaptation they will be seen as interchangeable. We're hardly likely to see both ever appear, or to see an exact differentation between them, given that most other intricate connections from the comics haven't made it into the films.

__________________Show me an X-Men comic where Mystique is the leader and walks round all day as a bored blonde